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Simplifying 9u + -39 = 6(u + 3) + -3 Reorder the terms: -39 + 9u = 6(u + 3) + -3 Reorder the terms: -39 + 9u = 6(3 + u) + -3 -39 + 9u = (3 * 6 + u * 6) + -3 -39 + 9u = (18 + 6u) + -3 Reorder the terms: -39 + 9u = 18 + -3 + 6u Combine like terms: 18 + -3 = 15 -39 + 9u = 15 + 6u Solving -39 + 9u = 15 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -39 + 9u + -6u = 15 + 6u + -6u Combine like terms: 9u + -6u = 3u -39 + 3u = 15 + 6u + -6u Combine like terms: 6u + -6u = 0 -39 + 3u = 15 + 0 -39 + 3u = 15 Add '39' to each side of the equation. -39 + 39 + 3u = 15 + 39 Combine like terms: -39 + 39 = 0 0 + 3u = 15 + 39 3u = 15 + 39 Combine like terms: 15 + 39 = 54 3u = 54 Divide each side by '3'. u = 18 Simplifying u = 18
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